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15342048 = 25351973
BaseRepresentation
bin111010100001…
…100111100000
31001212110100000
4322201213200
512411421143
61304500000
7244256001
oct72414740
931773300
1015342048
118729787
12517a600
133242247
1420751a8
151530bd3
hexea19e0

15342048 has 72 divisors (see below), whose sum is σ = 45267768. Its totient is φ = 5111424.

The previous prime is 15342043. The next prime is 15342059. The reversal of 15342048 is 84024351.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15342043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6790 + ... + 8762.

It is an arithmetic number, because the mean of its divisors is an integer number (628719).

Almost surely, 215342048 is an apocalyptic number.

15342048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15342048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22633884).

15342048 is an abundant number, since it is smaller than the sum of its proper divisors (29925720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

15342048 is an equidigital number, since it uses as much as digits as its factorization.

15342048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 15342048 is about 3916.8926459631. The cubic root of 15342048 is about 248.4817206440.

Adding to 15342048 its reverse (84024351), we get a palindrome (99366399).

The spelling of 15342048 in words is "fifteen million, three hundred forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 1973 2592 3888 3946 5919 7776 7892 11838 15784 17757 23676 31568 35514 47352 53271 63136 71028 94704 106542 142056 159813 189408 213084 284112 319626 426168 479439 568224 639252 852336 958878 1278504 1704672 1917756 2557008 3835512 5114016 7671024 15342048